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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：北京大学
学位：博士
所在单位：力学与航空航天学院
学科：工程力学. 固体力学. 生物与纳米力学
办公地点：大连理工大学综合实验一号楼308
电子邮箱：xsxu@dlut.edu.cn
HAMILTONIAN APPROACH TO ANALYTICAL THERMAL STRESS INTENSITY FACTORS-PART 1: THERMAL INTENSITY FACTOR
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论文类型：期刊论文
发表时间：2010-03-01
发表刊物：JOURNAL OF THERMAL STRESSES
收录刊物：SCIE、EI
卷号：33
期号：3
页面范围：262-278
ISSN号：0149-5739
关键字：Hamiltonian formalism; Heat conduction; Heat flux density; Singular temperature field; Symplectic eigensolution
摘要：An analytic method to determine the thermal intensity factors of finite domains in two-dimensional heat conduction in the vicinity of a crack is introduced. The method first separates the variables of the heat conduction equations in polar coordinates using the Hamiltonian formalism and finds the symplectic eigenfunctions analytically. The coefficients of the symplectic series are determined from the boundary conditions. The thermal intensity factor is given by the first coefficient of the antisymmetric part of the series and no post-processing is required.